Consider two types of a column cross-section: a hollow square and a hollow circular section. In both cases the wall thickness is 8 mm and the area occupied by the load-bearing material is 1034 mm². Find which of these two column types produces a better buckling performance with relevant calculations supporting your answer. Answer • The outer size of the hollow square section can be calcaulated as . mm The outer diameter of the hollow circular section can be calcualted as mm The second moment of area for the hollow square section can be calculated as mm4 The second moment of area for the hollow circle section can be calculated as mm4 Find which of these two column types produces a better buckling performance. Hollow Circular Section Hollow Square Section

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.11.2P: A prismatic bar of length L = 1.8 m and cross-sectional area A = 480 mm" is loaded by forces P{= 30...
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Consider two types of a column cross-section: a hollow square and a hollow circular section. In both
cases the wall thickness is 8 mm and the area occupied by the load-bearing material is 1034 mm². Find
which of these two column types produces a better buckling performance with relevant calculations
supporting your answer.
Answer
• The outer size of the hollow square section can be calcaulated as
.
mm
The outer diameter of the hollow circular section can be calcualted as
mm
The second moment of area for the hollow square section can be calculated as
mm4
The second moment of area for the hollow circle section can be calculated as
mm4
Find which of these two column types produces a better buckling performance.
Hollow Circular Section
Hollow Square Section
Transcribed Image Text:Consider two types of a column cross-section: a hollow square and a hollow circular section. In both cases the wall thickness is 8 mm and the area occupied by the load-bearing material is 1034 mm². Find which of these two column types produces a better buckling performance with relevant calculations supporting your answer. Answer • The outer size of the hollow square section can be calcaulated as . mm The outer diameter of the hollow circular section can be calcualted as mm The second moment of area for the hollow square section can be calculated as mm4 The second moment of area for the hollow circle section can be calculated as mm4 Find which of these two column types produces a better buckling performance. Hollow Circular Section Hollow Square Section
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